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Integral of d{x}:
Integral of 6x^3
Integral of sin(3x^2)
Integral of cosxsin3x
Integral of (2x-3)^7
Derivative of:
6x^3
Graphing y =:
6x^3
Identical expressions
6x^ three
6x cubed
6x to the power of three
6x3
6x³
6x to the power of 3
6x^3dx
Similar expressions
6*x^3*y^2+9*x^2*y

Solving integrals/ 6x^3

Integral of 6x^3 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 6 x^{3}\, dx$$

Integral(6*x^3, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 6 x^{3}\, dx = 6 \int x^{3}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
So, the result is: $\frac{3 x^{4}}{2}$
Add the constant of integration:

$\frac{3 x^{4}}{2}+ \mathrm{constant}$

The answer is:

$\frac{3 x^{4}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  4
 |    3          3*x 
 | 6*x  dx = C + ----
 |                2  
/

$${{3\,x^4}\over{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/2

$${{3}\over{2}}$$

=

3/2

$$\frac{3}{2}$$

Simplify

Numerical answer [src]

1.5

1.5

The graph

Integral of 6x^3 dx

Use the examples entering the upper and lower limits of integration.